Liverpool closed the gap on leaders Manchester City with victory over West Ham, while Chelsea tightened their grip on third place in Saturday's Premier League action.
The Blues saw off Burnley 4-0 at Turf Moor, a scoreline that was matched by Aston Villa in their statement victory against Southampton.
Newcastle United, Crystal Palace and Brentford also picked up wins, but it was a bad start to life under new management for Leeds in their early kick-off against Leicester City.
Following another eventful day of Premier League action, Stats Perform delves into the key Opta facts from each of the games.
Leeds United 0-1 Leicester City: New manager, same Leeds
Jesse Marsch's first game as Leeds boss ended in defeat to Leicester as United fell to a fifth successive league loss for the first time since April 2015, when they were in the Championship.
Leeds have failed to score in three straight league matches for the first time in a year, this despite registering 19 shots in their latest blank against Leicester.
United's expected goals (xG) return of 1.95 is their highest without scoring in a league game since June 2020, and the familiar failings were also on show at the other end.
Harvey Barnes' second-half winner means Leeds have gone 13 league games without a clean sheet, their longest-such run since 14 without a shutout ending in August 2016.
This was the fifth straight league game Barnes has scored against Leeds – four of those while playing for Leicester and one for West Brom, making them his favourite opponent.
Aston Villa 4-0 Southampton: Coutinho's home comforts
Villa are firmly back on track after registering back-to-back victories under Steven Gerrard for the first time since his opening two games in charge in November.
The Villans put four unanswered goals past Southampton at Villa Park for their biggest Premier League win since thrashing Liverpool 7-2 in October 2020.
Barcelona loanee Philippe Coutinho once again played a big part in the victory by scoring one and assisting another for Douglas Luiz.
Coutinho has now been directly involved in six goals in his first four home league games for Villa, scoring three of his own and setting up as many.
Ollie Watkins had earlier opened the scoring with his 21st Premier League strike since the start of the 2020-21 season, while Danny Ings added to his two assists with Villa's fourth goal.
Newcastle United 2-1 Brighton and Hove Albion: Fraser helps end Magpies' duck against Seagulls
For a while things looked incredibly bleak for Newcastle, even after their big-money takeover, but they now find themselves seven points above the relegation zone.
The Magpies held off Brighton to make it eight Premier League games without defeat – no team is on a better such run – with five of those matches ending in victory.
Ryan Fraser opened the scoring to make it two goals in five Premier League outings, matching his tally from his previous 70 appearances, before setting up Fabian Schar.
That was the earliest United have scored twice in a Premier League home game since January 2007 and, despite Lewis Dunk's header, Eddie Howe's side saw out the win.
It marks the first time Newcastle have defeated Brighton in the Premier League in their 10th such encounter, having previously failed to so much as score against them at home.
Norwich City 1-3 Brentford: Bees buzzing thanks to Toney treble
After a run of eight Premier League games without a win, Brentford bolstered their survival ambitions with a well-earned victory away at bottom side Norwich.
Ivan Toney was the hero for the Bees with three goals, two of those from the penalty spot, making Brentford the 40th different team to boast a hat-trick scorer.
The Brentford striker now has nine Premier League goals for the season, each of those coming via his right foot.
Teemu Pukki scored a consolation but it was another miserable day for Norwich, whose goal difference of -42 is the worst at this stage since Derby County in 2007-08 (-44).
Not that it will matter a great deal in the grand scheme of things, but Brentford are the first team Pukki has scored home and away against in a single Premier League season.
Wolves 0-2 Crystal Palace: Shaky Wanderers lose again
Wolves' European hopes suffered another blow as they fell to a third successive Premier League defeat, as many as they lost in their previous 13.
Bruno Lage's out-of-form side have now conceded six goals in their last four league games, after shipping just five in 12 before that.
Jean-Philippe Mateta came up with the breakthrough from close range for his fourth goal in eight Premier League starts, and Wilfried Zaha doubled Palace's lead from the penalty spot.
Ivory Coast international Zaha has now been directly involved in 83 goals in the competition, the joint-ninth best total for an African player, level with Nwankwo Kanu.
With this latest loss, it is the first time Wolves have lost three games in a row against Palace in their entire league history.
Burnley 0-4 Chelsea: Blues cruise at Turf Moor
It was business as usual for Chelsea as they won for a third Premier League game running without conceding in what proved to be a straightforward victory at lowly Burnley.
The Blues scored all four of their goals in the second half as they enjoyed their biggest away league win since October 2018 when also beating Burnley by the same scoreline.
This was the biggest margin of victory for an away side in a game that was goalless at half-time since Tottenham beat Aston Villa 4-0 in December 2012.
Reece James started the scoring and in the process became the first defender from Europe's top five leagues to both score and assist five goals this term in all competitions.
Kai Havertz also netted twice before Christian Pulisic added some gloss to the scoreline – his fourth goal at Turf Moor, matching a record for an away player set by Tottenham's Harry Kane.
Liverpool 1-0 West Ham: Reds roll on thanks to Mane
Sadio Mane's first-half goal made it seven wins in a row for Liverpool in the Premier League, their best such streak since a run of 18 when they claimed the title two years ago.
That close-range finish was Mane's 12th of the season in the league, nine of those coming at Anfield – no player has scored more home goals in the division this season.
Trent Alexander-Arnold played the ball into the box for Mane's goal for his 16th assist in all competitions this term, more than he has ever registered in a single campaign.
Liverpool were not at their best and that was particularly true of Mohamed Salah, who failed to score from six shots – only against Stoke in April 2018 (seven) has he fared worse.
Incredibly, Virgil van Dijk has never been on the losing side for Liverpool in 60 Premier League home games at Anfield, setting a new record in that regard.
Kompany: Bayern must learn from defeat to Villa
Vincent Kompany lamented Bayern Munich's profligacy and urged his team to learn from their mistakes after their 1-0 loss to Aston Villa.
Jhon Duran's superb finish at Villa Park saw the hosts claim all three points in Wednesday's Champions League encounter.
It was just the second meeting between Villa and Bayern, with the first having come back in the 1982 European Cup final, which the English team won 1-0.
Bayern had their chances, though, having 17 shots, getting seven on target and mustering 1.42 expected goals (xG), with Emiliano Martinez making a string of fine stops late on.
"We missed some big chances and they scored the chance. We've got to take the learnings from this," said Kompany after suffering his first defeat as Bayern head coach.
"When we have the ball, we're dangerous, but they're a strong team, this isn't an easy place. It wasn't a bad performance.
"If you don't take your chances, it can happen.
"We had big chances, we didn't score them. We gave away a moment and in that moment obviously Villa scored a goal.
"I understand the occasion it was for the opponent and it was a special night for them."
Villa became the second English side to win their first two Champions League games (since 1992-93), after Leicester City in 2016-17.
Bayern, meanwhile, saw their 41-game unbeaten run in the group/league stage of UEFA's elite club competition (the longest such run in the tournament's history) come to an end.
"When we have the ball, we're dangerous, but [Villa] are a strong team, this isn't an easy place. It wasn't a bad performance," Kompany added.
"We conceded very few chances. If we focus on our own work, we will win a lot of games still."
Bayern visit Eintracht Frankfurt in the Bundesliga on Saturday.
Liverpool boss Slot: Salah 'will always score goals'
Arne Slot is confident Mohamed Salah will "always score goals" if he is in the Liverpool team, after the Egyptian's star turn against Bologna.
Having teed up Alexis Mac Allister's opener at Anfield, Salah scored Liverpool's second to seal a 2-0 win in the Champions League on Wednesday.
In the process, Salah became the first Liverpool player to score in five consecutive home games in the European Cup/Champions League.
He is only the third player to score in five consecutive Champions League home games for a Premier League side, after Thierry Henry with Arsenal (seven) and Ruud van Nistelrooy with Manchester United (six).
"Before [last week's EFL Cup win over West Ham], Mo played three games without scoring a goal," said Slot.
"So it is in football, it can happen that sometimes in three games, you score one or you don't score.
"But these players, like Mo, they will always score their goals if you just keep playing them."
Salah's contract expires at the end of this season and he has said this will be his last season at Anfield.
"Mo has done really well today, and I'm happy with the way he does at the moment, and I'm not looking forward to next season," Slot added.
The 46-year-old Dutchman, who replaced Jurgen Klopp, has become Liverpool's first head coach to win eight of their first nine games across all competitions.
His team have won their opening two in the Champions League to sit fifth in the 36-team table. They also top the Premier League.
Slot said: "I don't draw many conclusions from that, but it's nice. So many incredible managers have worked here, doing so many special things.
"The only thing is I hope it is not the only thing people remember me for in two or three years or however long I am here. If all they say is, 'that's the manager who won eight out of nine!'
"I'm hoping to do more special things than just win eight out of my first nine games.
"It also says how I have been left this club – the work rate the players put in, how the staff are helping me get these results."
'Unreal' win over Bayern a 'statement', says Aston Villa goalkeeper Martinez
Aston Villa made a "statement" with their "unreal" victory over European heavyweights Bayern Munich, according to Emiliano Martinez.
Villa won 1-0 on Wednesday to make it two victories from two games in the Champions League, as they claimed their second triumph over Bayern from as many meetings, with their previous success against them having come by the same scoreline in the 1982 European Cup final.
The German giants dominated possession and accrued 1.42 expected goals (xG) to Villa's 0.4, but the only stat that mattered at Villa Park was the scoreline.
Substitute Jhon Duran was the hero as he scooped a brilliant finish over Manuel Neuer from outside the box in the 79th minute, with Martinez subsequently pulling off a string of fine stops to deny Bayern an equaliser.
"It's unreal. It's a night that we will remember for a long time. It's a statement," said Villa's World Cup-winning goalkeeper.
"[The noise] was hurting my ears. This is a club that's moving forward. I love playing here. I love the fans."
Duran, who reportedly came close to leaving Villa in the summer, has started the season brilliantly, and now has a Champions League goal to go with his four in the Premier League.
"He's an excellent substitute," Martinez said of the Colombian, whose five goals have all come from the bench.
"The first time he touched the ball, he chipped Neuer – one of the most beautiful goals in history."
Unai Emery, meanwhile, said Duran's goal was a pre-planned tactic.
"In the analysis we did, we were speaking a lot about the usual position of Neuer, which is high," Emery said of Villa's pre-match conversations.
"He [Duran] had in his mind this possibility about Neuer.
"He is young, he has huge potential. As a player, I have to let him play, put him on the field, because his talent is there, his capacity to help us.
"We are working with him. Most important is his attitude. He's available to play 90, 60, 30 minutes. He's been focusing each minute he's playing.
"It's fantastic for him and the team."
Emery also had warm words for Martinez, adding: "Martinez did an amazing job, amazing saves."
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